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Finding the Fourth Proportional to 295,180.50, 407,380.44 and 180,526.20

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Solution

The fourth proportional to 295,180.50, 407,380.44 and 180,526.20 is: 249,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,180.50 : 407,380.44 = 180,526.20 : x
  2. Step 2: Convert to fraction form
    295,180.50/407,380.44 = 180,526.20/x
  3. Step 3: Cross multiply
    295,180.50x = 407,380.44 × 180,526.20
  4. Step 4: Simplify right side
    295,180.50x = 73,542,842,787.53
  5. Step 5: Solve for x
    x = 73,542,842,787.53/295,180.50
  6. Step 6: Final answer
    x = 249,145.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.